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<li class="navelem"><a class="el" href="dir_d44c64559bbebec7f509842c48db8b23.html">include</a></li><li class="navelem"><a class="el" href="dir_9d8b5820aeddb56054d6182409bbdf51.html">cpp0x</a></li>  </ul>
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<div class="title">hyperbolic.h</div>  </div>
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<div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno">    1</span>&#160;<span class="preprocessor">#ifndef __GAALET_HYPERBOLIC_H</span></div>
<div class="line"><a name="l00002"></a><span class="lineno">    2</span>&#160;<span class="preprocessor">#define __GAALET_HYPERBOLIC_H</span></div>
<div class="line"><a name="l00003"></a><span class="lineno">    3</span>&#160;</div>
<div class="line"><a name="l00004"></a><span class="lineno">    4</span>&#160;<span class="preprocessor">#include &lt;cmath&gt;</span></div>
<div class="line"><a name="l00005"></a><span class="lineno">    5</span>&#160;</div>
<div class="line"><a name="l00006"></a><span class="lineno">    6</span>&#160;<span class="preprocessor">#include &quot;grade.h&quot;</span></div>
<div class="line"><a name="l00007"></a><span class="lineno">    7</span>&#160;<span class="preprocessor">#include &quot;geometric_product.h&quot;</span></div>
<div class="line"><a name="l00008"></a><span class="lineno">    8</span>&#160;</div>
<div class="line"><a name="l00009"></a><span class="lineno">    9</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacegaalet.html">gaalet</a> {</div>
<div class="line"><a name="l00010"></a><span class="lineno">   10</span>&#160;</div>
<div class="line"><a name="l00011"></a><span class="lineno">   11</span>&#160;<span class="comment">//go through inversion evaluation type checks</span></div>
<div class="line"><a name="l00012"></a><span class="lineno">   12</span>&#160;<span class="comment">//value=1 - bivector hyperbolic</span></div>
<div class="line"><a name="l00013"></a><span class="lineno">   13</span>&#160;<span class="comment">//value=2 - scalar hyperbolic</span></div>
<div class="line"><a name="l00014"></a><span class="lineno">   14</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">class</span> A&gt;</div>
<div class="line"><a name="l00015"></a><span class="lineno"><a class="line" href="structgaalet_1_1hyperbolic__evaluation__type.html">   15</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structgaalet_1_1hyperbolic__evaluation__type.html">hyperbolic_evaluation_type</a></div>
<div class="line"><a name="l00016"></a><span class="lineno">   16</span>&#160;{</div>
<div class="line"><a name="l00017"></a><span class="lineno">   17</span>&#160;   <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">int</span> value = (<a class="code" href="structgaalet_1_1check__bivector.html">check_bivector&lt;typename A::clist&gt;::value</a>) ? 1 :</div>
<div class="line"><a name="l00018"></a><span class="lineno">   18</span>&#160;                            (<a class="code" href="structgaalet_1_1check__scalar.html">check_scalar&lt;typename A::clist&gt;::value</a>) ? 0 :</div>
<div class="line"><a name="l00019"></a><span class="lineno">   19</span>&#160;                            -1;</div>
<div class="line"><a name="l00020"></a><span class="lineno">   20</span>&#160;};</div>
<div class="line"><a name="l00021"></a><span class="lineno">   21</span>&#160;</div>
<div class="line"><a name="l00022"></a><span class="lineno">   22</span>&#160;template&lt;class A, int ET = hyperbolic_evaluation_type&lt;A&gt;::value&gt;</div>
<div class="line"><a name="l00023"></a><span class="lineno"><a class="line" href="structgaalet_1_1sinh.html">   23</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structgaalet_1_1sinh.html">sinh</a> : <span class="keyword">public</span> <a class="code" href="structgaalet_1_1expression.html">expression</a>&lt;sinh&lt;A&gt;&gt;</div>
<div class="line"><a name="l00024"></a><span class="lineno">   24</span>&#160;{</div>
<div class="line"><a name="l00025"></a><span class="lineno">   25</span>&#160;   static_assert(ET!=-1, <span class="stringliteral">&quot;no method for evaluating this type of multivector implemented&quot;</span>);</div>
<div class="line"><a name="l00026"></a><span class="lineno">   26</span>&#160;};</div>
<div class="line"><a name="l00027"></a><span class="lineno">   27</span>&#160;</div>
<div class="line"><a name="l00028"></a><span class="lineno">   28</span>&#160;<span class="comment">//bivector sinh</span></div>
<div class="line"><a name="l00029"></a><span class="lineno">   29</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">class</span> A&gt;</div>
<div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="structgaalet_1_1sinh_3_01A_00_011_01_4.html">   30</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structgaalet_1_1sinh.html">sinh</a>&lt;A, 1&gt; : <span class="keyword">public</span> <a class="code" href="structgaalet_1_1expression.html">expression</a>&lt;sinh&lt;A&gt;&gt;</div>
<div class="line"><a name="l00031"></a><span class="lineno">   31</span>&#160;{</div>
<div class="line"><a name="l00032"></a><span class="lineno">   32</span>&#160;   <span class="keyword">typedef</span> <span class="keyword">typename</span> A::clist clist;</div>
<div class="line"><a name="l00033"></a><span class="lineno">   33</span>&#160;</div>
<div class="line"><a name="l00034"></a><span class="lineno">   34</span>&#160;   <span class="keyword">typedef</span> <span class="keyword">typename</span> A::metric metric;</div>
<div class="line"><a name="l00035"></a><span class="lineno">   35</span>&#160;</div>
<div class="line"><a name="l00036"></a><span class="lineno">   36</span>&#160;   <span class="keyword">typedef</span> <span class="keyword">typename</span> A::element_t element_t;</div>
<div class="line"><a name="l00037"></a><span class="lineno">   37</span>&#160;</div>
<div class="line"><a name="l00038"></a><span class="lineno">   38</span>&#160;   <span class="comment">//dangerous implementation: constructor only called when expression is defined, not when evaluated</span></div>
<div class="line"><a name="l00039"></a><span class="lineno">   39</span>&#160;   <a class="code" href="group__ga__ops.html#ga4d5dd9546bf8f7492bbd4f226f5e6a47">sinh</a>(<span class="keyword">const</span> A&amp; a_)</div>
<div class="line"><a name="l00040"></a><span class="lineno">   40</span>&#160;      :  a(a_),</div>
<div class="line"><a name="l00041"></a><span class="lineno">   41</span>&#160;         first_eval(<span class="keyword">true</span>)</div>
<div class="line"><a name="l00042"></a><span class="lineno">   42</span>&#160;   { }</div>
<div class="line"><a name="l00043"></a><span class="lineno">   43</span>&#160;</div>
<div class="line"><a name="l00044"></a><span class="lineno">   44</span>&#160;   <span class="comment">//review: don&#39;t evaluate on definition workaround: will only work if arguments stay the same (thus attention with variables)</span></div>
<div class="line"><a name="l00045"></a><span class="lineno">   45</span>&#160;   <span class="keyword">template</span>&lt;conf_t conf&gt;</div>
<div class="line"><a name="l00046"></a><span class="lineno">   46</span>&#160;   element_t element()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00047"></a><span class="lineno">   47</span>&#160;      <span class="keywordflow">if</span>(first_eval) {</div>
<div class="line"><a name="l00048"></a><span class="lineno">   48</span>&#160;         element_t alpha_square = eval(<a class="code" href="structgaalet_1_1grade.html">grade</a>&lt;0, decltype(a*a)&gt;(a*a));</div>
<div class="line"><a name="l00049"></a><span class="lineno">   49</span>&#160;         <span class="keywordflow">if</span>(alpha_square == 0.0 || alpha_square == -0.0) {</div>
<div class="line"><a name="l00050"></a><span class="lineno">   50</span>&#160;            sada = 0.0;</div>
<div class="line"><a name="l00051"></a><span class="lineno">   51</span>&#160;         }</div>
<div class="line"><a name="l00052"></a><span class="lineno">   52</span>&#160;         <span class="keywordflow">else</span> {</div>
<div class="line"><a name="l00053"></a><span class="lineno">   53</span>&#160;            element_t alpha = <a class="code" href="group__symbex__ops.html#ga7cd02ef55803df475bb1be5915d0339e">sqrt</a>(-alpha_square);</div>
<div class="line"><a name="l00054"></a><span class="lineno">   54</span>&#160;            sada = <a class="code" href="group__symbex__ops.html#gac05bf90d74c221b1a994f1dab3e76340">sin</a>(alpha)/alpha;</div>
<div class="line"><a name="l00055"></a><span class="lineno">   55</span>&#160;         }</div>
<div class="line"><a name="l00056"></a><span class="lineno">   56</span>&#160;         first_eval = <span class="keyword">false</span>;</div>
<div class="line"><a name="l00057"></a><span class="lineno">   57</span>&#160;      }</div>
<div class="line"><a name="l00058"></a><span class="lineno">   58</span>&#160;</div>
<div class="line"><a name="l00059"></a><span class="lineno">   59</span>&#160;      <span class="keywordflow">return</span> a.element&lt;conf&gt;()*sada;</div>
<div class="line"><a name="l00060"></a><span class="lineno">   60</span>&#160;   }</div>
<div class="line"><a name="l00061"></a><span class="lineno">   61</span>&#160;</div>
<div class="line"><a name="l00062"></a><span class="lineno">   62</span>&#160;<span class="keyword">protected</span>:</div>
<div class="line"><a name="l00063"></a><span class="lineno">   63</span>&#160;   <span class="keyword">const</span> A&amp; a;</div>
<div class="line"><a name="l00064"></a><span class="lineno">   64</span>&#160;   <span class="keyword">mutable</span> element_t sada;</div>
<div class="line"><a name="l00065"></a><span class="lineno">   65</span>&#160;   <span class="keyword">mutable</span> <span class="keywordtype">bool</span> first_eval;</div>
<div class="line"><a name="l00066"></a><span class="lineno">   66</span>&#160;};</div>
<div class="line"><a name="l00067"></a><span class="lineno">   67</span>&#160;</div>
<div class="line"><a name="l00068"></a><span class="lineno">   68</span>&#160;<span class="comment">//scalar sinh</span></div>
<div class="line"><a name="l00069"></a><span class="lineno">   69</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">class</span> A&gt;</div>
<div class="line"><a name="l00070"></a><span class="lineno"><a class="line" href="structgaalet_1_1sinh_3_01A_00_010_01_4.html">   70</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structgaalet_1_1sinh.html">sinh</a>&lt;A, 0&gt; : <span class="keyword">public</span> <a class="code" href="structgaalet_1_1expression.html">expression</a>&lt;sinh&lt;A&gt;&gt;</div>
<div class="line"><a name="l00071"></a><span class="lineno">   71</span>&#160;{</div>
<div class="line"><a name="l00072"></a><span class="lineno">   72</span>&#160;   <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structgaalet_1_1configuration__list.html">insert_element&lt;0, cl_null&gt;::clist</a> <a class="code" href="structgaalet_1_1configuration__list.html">clist</a>;</div>
<div class="line"><a name="l00073"></a><span class="lineno">   73</span>&#160;</div>
<div class="line"><a name="l00074"></a><span class="lineno">   74</span>&#160;   <span class="keyword">typedef</span> <span class="keyword">typename</span> A::metric metric;</div>
<div class="line"><a name="l00075"></a><span class="lineno">   75</span>&#160;</div>
<div class="line"><a name="l00076"></a><span class="lineno">   76</span>&#160;   <span class="keyword">typedef</span> <span class="keyword">typename</span> A::element_t element_t;</div>
<div class="line"><a name="l00077"></a><span class="lineno">   77</span>&#160;</div>
<div class="line"><a name="l00078"></a><span class="lineno">   78</span>&#160;   <a class="code" href="group__ga__ops.html#ga4d5dd9546bf8f7492bbd4f226f5e6a47">sinh</a>(<span class="keyword">const</span> A&amp; a_)</div>
<div class="line"><a name="l00079"></a><span class="lineno">   79</span>&#160;      :  a(a_)</div>
<div class="line"><a name="l00080"></a><span class="lineno">   80</span>&#160;   { }</div>
<div class="line"><a name="l00081"></a><span class="lineno">   81</span>&#160;</div>
<div class="line"><a name="l00082"></a><span class="lineno">   82</span>&#160;   <span class="keyword">template</span>&lt;conf_t conf&gt;</div>
<div class="line"><a name="l00083"></a><span class="lineno">   83</span>&#160;   element_t element()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00084"></a><span class="lineno">   84</span>&#160;      <span class="keywordflow">return</span> (conf==0) ? <a class="code" href="group__ga__ops.html#ga4d5dd9546bf8f7492bbd4f226f5e6a47">sinh</a>(a.element&lt;conf&gt;()) : 0.0;</div>
<div class="line"><a name="l00085"></a><span class="lineno">   85</span>&#160;   }</div>
<div class="line"><a name="l00086"></a><span class="lineno">   86</span>&#160;</div>
<div class="line"><a name="l00087"></a><span class="lineno">   87</span>&#160;<span class="keyword">protected</span>:</div>
<div class="line"><a name="l00088"></a><span class="lineno">   88</span>&#160;   <span class="keyword">const</span> A&amp; a;</div>
<div class="line"><a name="l00089"></a><span class="lineno">   89</span>&#160;};</div>
<div class="line"><a name="l00090"></a><span class="lineno">   90</span>&#160;</div>
<div class="line"><a name="l00091"></a><span class="lineno">   91</span>&#160;</div>
<div class="line"><a name="l00092"></a><span class="lineno">   92</span>&#160;</div>
<div class="line"><a name="l00093"></a><span class="lineno">   93</span>&#160;template&lt;class A, int ET = hyperbolic_evaluation_type&lt;A&gt;::value&gt;</div>
<div class="line"><a name="l00094"></a><span class="lineno"><a class="line" href="structgaalet_1_1cosh.html">   94</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structgaalet_1_1cosh.html">cosh</a> : <span class="keyword">public</span> <a class="code" href="structgaalet_1_1expression.html">expression</a>&lt;cosh&lt;A&gt;&gt;</div>
<div class="line"><a name="l00095"></a><span class="lineno">   95</span>&#160;{</div>
<div class="line"><a name="l00096"></a><span class="lineno">   96</span>&#160;   static_assert(ET!=-1, <span class="stringliteral">&quot;no method for evaluating this type of multivector implemented&quot;</span>);</div>
<div class="line"><a name="l00097"></a><span class="lineno">   97</span>&#160;};</div>
<div class="line"><a name="l00098"></a><span class="lineno">   98</span>&#160;</div>
<div class="line"><a name="l00099"></a><span class="lineno">   99</span>&#160;<span class="comment">//bivector cosh</span></div>
<div class="line"><a name="l00100"></a><span class="lineno">  100</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">class</span> A&gt;</div>
<div class="line"><a name="l00101"></a><span class="lineno"><a class="line" href="structgaalet_1_1cosh_3_01A_00_011_01_4.html">  101</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structgaalet_1_1cosh.html">cosh</a>&lt;A, 1&gt; : <span class="keyword">public</span> <a class="code" href="structgaalet_1_1expression.html">expression</a>&lt;cosh&lt;A&gt;&gt;</div>
<div class="line"><a name="l00102"></a><span class="lineno">  102</span>&#160;{</div>
<div class="line"><a name="l00103"></a><span class="lineno">  103</span>&#160;   <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structgaalet_1_1configuration__list.html">insert_element&lt;0, cl_null&gt;::clist</a> <a class="code" href="structgaalet_1_1configuration__list.html">clist</a>;</div>
<div class="line"><a name="l00104"></a><span class="lineno">  104</span>&#160;</div>
<div class="line"><a name="l00105"></a><span class="lineno">  105</span>&#160;   <span class="keyword">typedef</span> <span class="keyword">typename</span> A::metric metric;</div>
<div class="line"><a name="l00106"></a><span class="lineno">  106</span>&#160;</div>
<div class="line"><a name="l00107"></a><span class="lineno">  107</span>&#160;   <span class="keyword">typedef</span> <span class="keyword">typename</span> A::element_t element_t;</div>
<div class="line"><a name="l00108"></a><span class="lineno">  108</span>&#160;</div>
<div class="line"><a name="l00109"></a><span class="lineno">  109</span>&#160;   <span class="comment">//dangerous implementation: constructor only called when expression is defined, not when evaluated</span></div>
<div class="line"><a name="l00110"></a><span class="lineno">  110</span>&#160;   <a class="code" href="group__ga__ops.html#ga854f54d7ebc422d87b0c88a9a9058238">cosh</a>(<span class="keyword">const</span> A&amp; a_)</div>
<div class="line"><a name="l00111"></a><span class="lineno">  111</span>&#160;      :  a(a_)</div>
<div class="line"><a name="l00112"></a><span class="lineno">  112</span>&#160;   { }</div>
<div class="line"><a name="l00113"></a><span class="lineno">  113</span>&#160;</div>
<div class="line"><a name="l00114"></a><span class="lineno">  114</span>&#160;   <span class="comment">//review: don&#39;t evaluate on definition workaround: will only work if arguments stay the same (thus attention with variables)</span></div>
<div class="line"><a name="l00115"></a><span class="lineno">  115</span>&#160;   <span class="keyword">template</span>&lt;conf_t conf&gt;</div>
<div class="line"><a name="l00116"></a><span class="lineno">  116</span>&#160;   element_t element()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00117"></a><span class="lineno">  117</span>&#160;      element_t alpha_square = eval(<a class="code" href="structgaalet_1_1grade.html">grade</a>&lt;0, decltype(a*a)&gt;(a*a));</div>
<div class="line"><a name="l00118"></a><span class="lineno">  118</span>&#160;      element_t alpha = <a class="code" href="group__symbex__ops.html#ga7cd02ef55803df475bb1be5915d0339e">sqrt</a>(-alpha_square);</div>
<div class="line"><a name="l00119"></a><span class="lineno">  119</span>&#160;      <span class="keywordflow">return</span> (conf==0) ? <a class="code" href="group__symbex__ops.html#ga68a6a7fd16bb2e68332f24ab1c7c1705">cos</a>(alpha) : 0.0;</div>
<div class="line"><a name="l00120"></a><span class="lineno">  120</span>&#160;   }</div>
<div class="line"><a name="l00121"></a><span class="lineno">  121</span>&#160;</div>
<div class="line"><a name="l00122"></a><span class="lineno">  122</span>&#160;<span class="keyword">protected</span>:</div>
<div class="line"><a name="l00123"></a><span class="lineno">  123</span>&#160;   <span class="keyword">const</span> A&amp; a;</div>
<div class="line"><a name="l00124"></a><span class="lineno">  124</span>&#160;};</div>
<div class="line"><a name="l00125"></a><span class="lineno">  125</span>&#160;</div>
<div class="line"><a name="l00126"></a><span class="lineno">  126</span>&#160;<span class="comment">//scalar cosh</span></div>
<div class="line"><a name="l00127"></a><span class="lineno">  127</span>&#160;<span class="keyword">template</span>&lt;<span class="keyword">class</span> A&gt;</div>
<div class="line"><a name="l00128"></a><span class="lineno"><a class="line" href="structgaalet_1_1cosh_3_01A_00_010_01_4.html">  128</a></span>&#160;<span class="keyword">struct </span><a class="code" href="structgaalet_1_1cosh.html">cosh</a>&lt;A, 0&gt; : <span class="keyword">public</span> <a class="code" href="structgaalet_1_1expression.html">expression</a>&lt;cosh&lt;A&gt;&gt;</div>
<div class="line"><a name="l00129"></a><span class="lineno">  129</span>&#160;{</div>
<div class="line"><a name="l00130"></a><span class="lineno">  130</span>&#160;   <span class="keyword">typedef</span> <span class="keyword">typename</span> <a class="code" href="structgaalet_1_1configuration__list.html">insert_element&lt;0, cl_null&gt;::clist</a> <a class="code" href="structgaalet_1_1configuration__list.html">clist</a>;</div>
<div class="line"><a name="l00131"></a><span class="lineno">  131</span>&#160;</div>
<div class="line"><a name="l00132"></a><span class="lineno">  132</span>&#160;   <span class="keyword">typedef</span> <span class="keyword">typename</span> A::metric metric;</div>
<div class="line"><a name="l00133"></a><span class="lineno">  133</span>&#160;</div>
<div class="line"><a name="l00134"></a><span class="lineno">  134</span>&#160;   <span class="keyword">typedef</span> <span class="keyword">typename</span> A::element_t element_t;</div>
<div class="line"><a name="l00135"></a><span class="lineno">  135</span>&#160;</div>
<div class="line"><a name="l00136"></a><span class="lineno">  136</span>&#160;   <a class="code" href="group__ga__ops.html#ga854f54d7ebc422d87b0c88a9a9058238">cosh</a>(<span class="keyword">const</span> A&amp; a_)</div>
<div class="line"><a name="l00137"></a><span class="lineno">  137</span>&#160;      :  a(a_)</div>
<div class="line"><a name="l00138"></a><span class="lineno">  138</span>&#160;   { }</div>
<div class="line"><a name="l00139"></a><span class="lineno">  139</span>&#160;</div>
<div class="line"><a name="l00140"></a><span class="lineno">  140</span>&#160;   <span class="keyword">template</span>&lt;conf_t conf&gt;</div>
<div class="line"><a name="l00141"></a><span class="lineno">  141</span>&#160;   element_t element()<span class="keyword"> const </span>{</div>
<div class="line"><a name="l00142"></a><span class="lineno">  142</span>&#160;      <span class="keywordflow">return</span> (conf==0) ? <a class="code" href="group__ga__ops.html#ga854f54d7ebc422d87b0c88a9a9058238">cosh</a>(a.element&lt;conf&gt;()) : 0.0;</div>
<div class="line"><a name="l00143"></a><span class="lineno">  143</span>&#160;   }</div>
<div class="line"><a name="l00144"></a><span class="lineno">  144</span>&#160;</div>
<div class="line"><a name="l00145"></a><span class="lineno">  145</span>&#160;<span class="keyword">protected</span>:</div>
<div class="line"><a name="l00146"></a><span class="lineno">  146</span>&#160;   <span class="keyword">const</span> A&amp; a;</div>
<div class="line"><a name="l00147"></a><span class="lineno">  147</span>&#160;};</div>
<div class="line"><a name="l00148"></a><span class="lineno">  148</span>&#160;</div>
<div class="line"><a name="l00149"></a><span class="lineno">  149</span>&#160;</div>
<div class="line"><a name="l00150"></a><span class="lineno">  150</span>&#160;</div>
<div class="line"><a name="l00151"></a><span class="lineno">  151</span>&#160;}  <span class="comment">//end namespace gaalet</span></div>
<div class="line"><a name="l00152"></a><span class="lineno">  152</span>&#160;</div>
<div class="line"><a name="l00154"></a><span class="lineno">  154</span>&#160;</div>
<div class="line"><a name="l00157"></a><span class="lineno">  157</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">class</span> A&gt; <span class="keyword">inline</span></div>
<div class="line"><a name="l00159"></a><span class="lineno">  159</span>&#160;<a class="code" href="structgaalet_1_1sinh.html">gaalet::sinh&lt;A&gt;</a></div>
<div class="line"><a name="l00160"></a><span class="lineno"><a class="line" href="group__ga__ops.html#ga4d5dd9546bf8f7492bbd4f226f5e6a47">  160</a></span>&#160;<a class="code" href="group__ga__ops.html#ga4d5dd9546bf8f7492bbd4f226f5e6a47">sinh</a>(<span class="keyword">const</span> <a class="code" href="structgaalet_1_1expression.html">gaalet::expression&lt;A&gt;</a>&amp; a) {</div>
<div class="line"><a name="l00161"></a><span class="lineno">  161</span>&#160;   <span class="keywordflow">return</span> <a class="code" href="structgaalet_1_1sinh.html">gaalet::sinh&lt;A&gt;</a>(a);</div>
<div class="line"><a name="l00162"></a><span class="lineno">  162</span>&#160;}</div>
<div class="line"><a name="l00163"></a><span class="lineno">  163</span>&#160;</div>
<div class="line"><a name="l00165"></a><span class="lineno">  165</span>&#160;</div>
<div class="line"><a name="l00168"></a><span class="lineno">  168</span>&#160;<span class="keyword">template</span> &lt;<span class="keyword">class</span> A&gt; <span class="keyword">inline</span></div>
<div class="line"><a name="l00170"></a><span class="lineno">  170</span>&#160;<a class="code" href="structgaalet_1_1cosh.html">gaalet::cosh&lt;A&gt;</a></div>
<div class="line"><a name="l00171"></a><span class="lineno"><a class="line" href="group__ga__ops.html#ga854f54d7ebc422d87b0c88a9a9058238">  171</a></span>&#160;<a class="code" href="group__ga__ops.html#ga854f54d7ebc422d87b0c88a9a9058238">cosh</a>(<span class="keyword">const</span> <a class="code" href="structgaalet_1_1expression.html">gaalet::expression&lt;A&gt;</a>&amp; a) {</div>
<div class="line"><a name="l00172"></a><span class="lineno">  172</span>&#160;   <span class="keywordflow">return</span> <a class="code" href="structgaalet_1_1cosh.html">gaalet::cosh&lt;A&gt;</a>(a);</div>
<div class="line"><a name="l00173"></a><span class="lineno">  173</span>&#160;}</div>
<div class="line"><a name="l00174"></a><span class="lineno">  174</span>&#160;</div>
<div class="line"><a name="l00175"></a><span class="lineno">  175</span>&#160;</div>
<div class="line"><a name="l00176"></a><span class="lineno">  176</span>&#160;<span class="preprocessor">#endif</span></div>
<div class="ttc" id="namespacegaalet_html"><div class="ttname"><a href="namespacegaalet.html">gaalet</a></div><div class="ttdef"><b>Definition:</b> addition.h:4</div></div>
<div class="ttc" id="structgaalet_1_1expression_html"><div class="ttname"><a href="structgaalet_1_1expression.html">gaalet::expression</a></div><div class="ttdef"><b>Definition:</b> expression.h:16</div></div>
<div class="ttc" id="structgaalet_1_1configuration__list_html"><div class="ttname"><a href="structgaalet_1_1configuration__list.html">gaalet::configuration_list</a></div><div class="ttdef"><b>Definition:</b> configuration_list.h:10</div></div>
<div class="ttc" id="group__ga__ops_html_ga854f54d7ebc422d87b0c88a9a9058238"><div class="ttname"><a href="group__ga__ops.html#ga854f54d7ebc422d87b0c88a9a9058238">cosh</a></div><div class="ttdeci">gaalet::cosh&lt; A &gt; cosh(const gaalet::expression&lt; A &gt; &amp;a)</div><div class="ttdoc">Hyperbolic cosine of a multivector. </div><div class="ttdef"><b>Definition:</b> hyperbolic.h:171</div></div>
<div class="ttc" id="structgaalet_1_1sinh_html"><div class="ttname"><a href="structgaalet_1_1sinh.html">gaalet::sinh</a></div><div class="ttdef"><b>Definition:</b> hyperbolic.h:23</div></div>
<div class="ttc" id="structgaalet_1_1hyperbolic__evaluation__type_html"><div class="ttname"><a href="structgaalet_1_1hyperbolic__evaluation__type.html">gaalet::hyperbolic_evaluation_type</a></div><div class="ttdef"><b>Definition:</b> hyperbolic.h:15</div></div>
<div class="ttc" id="group__symbex__ops_html_ga68a6a7fd16bb2e68332f24ab1c7c1705"><div class="ttname"><a href="group__symbex__ops.html#ga68a6a7fd16bb2e68332f24ab1c7c1705">cos</a></div><div class="ttdeci">gaalet::symbex cos(const gaalet::symbex &amp;a)</div><div class="ttdoc">Cosine of symbex operand. </div><div class="ttdef"><b>Definition:</b> symbex.h:134</div></div>
<div class="ttc" id="group__symbex__ops_html_ga7cd02ef55803df475bb1be5915d0339e"><div class="ttname"><a href="group__symbex__ops.html#ga7cd02ef55803df475bb1be5915d0339e">sqrt</a></div><div class="ttdeci">gaalet::symbex sqrt(const gaalet::symbex &amp;a)</div><div class="ttdoc">Square root of symbex operand. </div><div class="ttdef"><b>Definition:</b> symbex.h:141</div></div>
<div class="ttc" id="structgaalet_1_1cosh_html"><div class="ttname"><a href="structgaalet_1_1cosh.html">gaalet::cosh</a></div><div class="ttdef"><b>Definition:</b> hyperbolic.h:94</div></div>
<div class="ttc" id="group__symbex__ops_html_gac05bf90d74c221b1a994f1dab3e76340"><div class="ttname"><a href="group__symbex__ops.html#gac05bf90d74c221b1a994f1dab3e76340">sin</a></div><div class="ttdeci">gaalet::symbex sin(const gaalet::symbex &amp;a)</div><div class="ttdoc">Sine of symbex operand. </div><div class="ttdef"><b>Definition:</b> symbex.h:127</div></div>
<div class="ttc" id="structgaalet_1_1check__bivector_html"><div class="ttname"><a href="structgaalet_1_1check__bivector.html">gaalet::check_bivector</a></div><div class="ttdef"><b>Definition:</b> exponential.h:13</div></div>
<div class="ttc" id="structgaalet_1_1grade_html"><div class="ttname"><a href="structgaalet_1_1grade.html">gaalet::grade</a></div><div class="ttdef"><b>Definition:</b> grade.h:31</div></div>
<div class="ttc" id="group__ga__ops_html_ga4d5dd9546bf8f7492bbd4f226f5e6a47"><div class="ttname"><a href="group__ga__ops.html#ga4d5dd9546bf8f7492bbd4f226f5e6a47">sinh</a></div><div class="ttdeci">gaalet::sinh&lt; A &gt; sinh(const gaalet::expression&lt; A &gt; &amp;a)</div><div class="ttdoc">Hyperbolic sine of a multivector. </div><div class="ttdef"><b>Definition:</b> hyperbolic.h:160</div></div>
<div class="ttc" id="structgaalet_1_1check__scalar_html"><div class="ttname"><a href="structgaalet_1_1check__scalar.html">gaalet::check_scalar</a></div><div class="ttdef"><b>Definition:</b> exponential.h:25</div></div>
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